Existence and uniqueness of weak and classical solutions for a fourth-order semilinear boundary value problem

Cristian Paul Danet

Abstract


This paper is concerned with the problem of existence and uniqueness of weak and classical solutions for a fourth-order semilinear boundary value problem. The existence and uniqueness for weak solutions follows from standard variational methods, while similar uniqueness results for classical solutions are derived using maximum principles.






doi:10.1017/S1446181119000129

Keywords


fourth order, maximum principle, plate theory, Paneitz-Branson operator.



DOI: https://doi.org/10.21914/anziamj.v61i0.14117



Remember, for most actions you have to record/upload into this online system
and then inform the editor/author via clicking on an email icon or Completion button.
ANZIAM Journal, ISSN 1446-8735, copyright Australian Mathematical Society.